1000211212133 has 12 divisors (see below), whose sum is σ = 1165152101580. Its totient is φ = 856114664832.

The previous prime is 1000211212127. The next prime is 1000211212193. The reversal of 1000211212133 is 3312121120001.

It can be written as a sum of positive squares in 2 ways, for example, as 200290261444 + 799920950689 = 447538^2 + 894383^2 .

It is not a de Polignac number, because 1000211212133 - 2¹⁸ = 1000210949989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000211212193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14360516 + ... + 14429997.

It is an arithmetic number, because the mean of its divisors is an integer number (97096008465).

Almost surely, 2^{1000211212133} is an apocalyptic number.

It is an amenable number.

1000211212133 is a deficient number, since it is larger than the sum of its proper divisors (164940889447).

1000211212133 is an equidigital number, since it uses as much as digits as its factorization.

1000211212133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28791236 (or 28791229 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1000211212133 its reverse (3312121120001), we get a palindrome (4312332332134).

The spelling of 1000211212133 in words is "one trillion, two hundred eleven million, two hundred twelve thousand, one hundred thirty-three".